Solving One-Step Inequalities with Addition and Subtraction

This video tutorial covers solving inequalities using addition and subtraction, graphing inequalities on a number line, and expressing solutions in set-builder notation. It explains the meanings of different inequality symbols and provides examples to illustrate how to solve inequality problems. The tutorial also includes practice problems for viewers to try on their own.

Which symbol represents 'is less than'?

• <

• >

• ≤

• ≥

What does the open circle on a number line indicate?

• The solution set is all numbers less than the circled number.

• The solution set is all numbers greater than the circled number.

• The number is not included in the solution set.

• The number is included in the solution set.

How do you represent 'x is less than 5' in set-builder notation?

• {x | x < 5}

• {x | x ≥ 5}

• {x | x > 5}

• {x | x ≤ 5}

What does 'M minus 5 is more than -11' translate to in inequality form?

• M - 5 > -11

• M + 5 < -11

• M - 5 < -11

• M + 5 > -11

Which symbol is used to indicate 'is at most'?

• <

• ≤

• ≥

• >

In set-builder notation, how is 'the set of all x such that x is greater than -6' written?

• {x | x ≥ -6}

• {x | x ≤ -6}

• {x | x < -6}

• {x | x > -6}

What does a closed circle on a number line signify?

• Only numbers less than the circled number are included.

• Only numbers greater than the circled number are included.

• The number is part of the solution set.

• The number is not part of the solution set.

If 'B minus one half is at most three-fourths', what is B in set-builder notation?

• {B | B > 5/4}

• {B | B < 5/4}

• {B | B ≥ 5/4}

• {B | B ≤ 5/4}

For the inequality '10 added by n is greater than or equal to 12', what is the correct graph representation?

• Open circle at 2, shading to the left.

• Closed circle at 2, shading to the right.

• Closed circle at 2, shading to the left.

• Open circle at 2, shading to the right.

Which of the following is a correct translation of a word problem into an inequality?

• 'The product of x and 7 is at least 21' translates to '7x ≥ 21'.

• 'Five more than x is less than 12' translates to 'x + 5 < 12'.

• 'Twelve subtracted from x is more than 5' translates to 'x - 12 > 5'.

• All of the above.